Articles and Notes

Important

This is an old homepage used by me from 2011 to 2020. New site: https://burlachenkok.github.io/

This page is dedicated to various notes, personal articles, or project reports. Some of them are pretty well developed, some not. Also, some of them have been written directly in the Russian Language.

Applied Math, Math optimization relative.

• Stanford, EE364A. Convex optimization with S.Boyd. Essay about the course in the Russian language

• Subtle notes relative to SVD

• SVD decomposition

• L2 norm of complex-valued function (screenshot from the book)

• Personal questions relative to mathematical optimization to Boris T. Polyak

• Random notes about non-convex optimization

• Fallacies about Newton Method

• Prove that log-concave function after integration over some variables will still be log-concave

• Stanford, Fun moments from EE364B

• Properties of KL divergence

• Some characteristics of several random variables

• How to use convex optimization for K-Summ problem

• How to use Convex Optimization for energy processor scheduling

• Properties of convex,quasiconvex,logconcave functions

• Notes of ADMM method based on a presentation from ETH

• Condition number notes

• Some notes about Iterative methods for solve linear equations

• Convex Optimization Example - Logistic Regression

• Convex Optimization Example - SVM

• Back to Fundamental things for DL - Differentiation and Convolution

• Short Notes about Discrete Optimization

Applied Math, Machine Learning, AI

• Stanford, CS229. Final Project - Convex Optimization for Machine Learning

• Not correct terminology from DL

• Backpropagation part I 

• Backpropagation part II 

• Backpropagation part III (extra)

• Subtle notes relative to SVD

• Small note about the Gini Index of diversity

• Statistical Parameters Estimation

• Reinforcement Learning and Control

• What is regularization

• Short note on Generalized Linear Models

• Some ways to interpret black-box models

• Jargon for classification

• What are cross-validation and some hints about it

• Some problems with decision tree

• Properties of KL divergence

• Just 25 problems of Machine Learning

• Main math models in the area of interest of Machine Learning

• Fundamental things around classification in Machine Learning/AI

• Decision Trees Part I. Decision trees for regression

• Decision Trees. Part II. Bagged Collection Of Decision Trees

• Decision Trees.Part III. Boosted Decision Trees. Need Math

• Lecture notes on models in Artificial Intelligence from CS221 class

• Catalog of courses from Stanford relative to start on learning of Deep Learning/ML/Optimization

• Notes about GANs

• Note about the optimization point of view into classical Boosting

• Solve via coordinate descend: Linear Regression with Elastic Net regularization 

• Notes about Sequence Models in Deep Learning

• Notes about Tensor Flow computation framework

• K-Nearest-Neighbors and things around it

• Normalization and Regularization Technics for Neural Nets

• Pipeline in application level for AI projects

• Dataset and its estimation

• Modeling Aspects of Machine Learning

• Stanford CS230: Experimental Neural Net Framework

• Stanford, CS221: Convex optimization solvers with leveraging into GPU/CPU power for AI/ML

• Notes about SMT and Z3 solver from Microsoft Research

• PyTorch resources

• Overview of some papers in Deep Learning for Image tasks

• Random notes about CS 330 Multi-Task Learning & Transfer Learning Basics

Applied Math

• Note about various math systems and control

• A slightly different notion of correlations

• Stanford, EE 263. Fun & interesting moments introduction to a linear dynamic system, S.Boyd.

• Stanford, one interpretation when (A^T*A) is not singular

• Notes about the book of A.N.Kolomogorov, S.V.Fomin - Introductionary Real Analysis

• Notes about the book of Amir Beck, First-Order Methods in optimization, 2017

Physics

• Faq about Foruier Transform (Faq про преобразование Фурье)

• Fourier Transform Advanced (eng)

• Fourier Transform and DFT properties (eng)

• Optics(draft)

• МФТИ, Теоретическая Механика

• Поток тепла (Heat flow)

• Отражение и преломление луча

• Уравнения математической физики

Geometry

• B Splines curves and Bezier curves (gamedev)

• Пространственная и плоская кривая и формула Френе

• Определение нормали к параметрической поверхности

• Преобразование нормалей и других векторов привязанных к объекту после линейного преобразования

• Make 2d line from 2 points

Technical details about C/C++

• Технические различия С/С++

• Programming guide for classic С/С++

• Трюки С++

• Хитрые тест-примеры для C++ (Код сниппеты)

• Lecture Notes по презентации Scott Meyers о C++11

• Random features of C++11/C++14/C++17/C++20

• C99 и объвление переменных в начале блока

• Трюк по отладке std::vector::operator[]

• Виртуальное наследование для тех кто знает плюсы

• Сравнение языков программирования

• Various way to implement 1/sqrt(x) in C++

Graphics and computation on GPU

• Reinstall NVIDIA driver for Linux

• Проектирование в OpenGL

• Про текстуры в OpenGL

• CUDA

• CUDA and parallel computation notes

• Решение проблем с установкой OpenCL SDK Linux

• OpenCL

• Random Notes about OpenCL

• Useful geometry principles for Real Time Rendering

Cryptography

• Заметки про атаки на веб сервисы

• Корректность работы RSA алгоритма

• Теоремы из Дискретной математики важные для криптографии

OS relative things

• Threads Windows

• Linux  commands and paths

• Mtu setup in windows

• Android development

• ARM CPU registers cheatsheet

Another programming languages, not C++

• Perl

• Python3

• Python Relative Things

• Cython

• Matlab

• Notes about R language

• Из C++ в JAVA (From C++ to JAVA)

Build systems, code generation, unit tests, etc.

• CMake

• Protobuf

• GTest

• Random Notes about Docker

• How to install vncserver

• MPI and MPI4PY

Control version systems

• Hg (mercurial)

• Svn

• Git

• Perforce

Tools

• Latex Notes

• Visual Studio Debugging

• Eclipse Usage

• Far manager

• Unreal Engine Editor

• Gui and Qt

• Software Optimization Technics

• Various small tools

• Valgrind Tools

Theory about software development

• Базовые понятия ООП и паттерны проектирования

• Модели консистенции операций в распределенных системах

• Mastrer Theorem

• Datamining

• Algorithms and data structs

• Computer Science. Open problems 

• Remarks about networks

Math analysis/calculus

• Теория Вероятности и мат. статистика

• Теорема Лагранжа поиска экстремума. Простое обоснование.

• Ряд Тейлора

• Почему нельзя делить на ноль

• Интересные моменты по линейной алгербе

• Дифференциальное и интегральное исчисление

• Вопрос про лексикографическую сортировку на stackoverflow

Computer Vision

• Final project for CS231A - Lane detection using Fourier based line detector

• Fitting parameters in math model

About life

• Stanford and Bauman Moscow State University comparision

• Russian / English vocabulary of various terms in the area of Applied Math

• Useful home code snippets and tools for daily things